Question

1. A car dealership has 12 sports cars, 6 sport utility vehicles, and 7 luxury cars on its lot. How many outcomes are there for randomly choosing a vehicle?

A.3
B.6
C.12
D.25

2. You randomly choose an integer between 1 and 25. How many favorable outcomes are there for choosing an odd number?

A.2
B.11
C.13
D.25

3. You toss a penny, nickel, dime, and quarter. What is the probability of all four landing on tails?

A.1/2
B.1/4
C.1/8
D.1/16

4. Chanel rolls a 6-sided die {1, 2, 3, 4, 5, 6}, and then flips a coin {H,T}

Which outcome is in the sample space of this experiment?

A.5H
B.T3
C.24
D.TH

5. For the senior-class election, 8 candidates are running for president and 6 for vice-president. Use the Fundamental Counting Principle to calculate the total number of class officer combinations available.

A.14
B.36
C.48
D.64

6. There are 6 television shows coming on this week that Gabe wants to watch. They all come on at different times, but his mom will only let him watch 4 shows a week. How many different combinations of shows can Gabe choose to watch?

A.15
B.30
C.45
D.60

Answer 1

1, 12+6+7 there are 25 possible outcomes

Choice D

2. there are 13 odd numbers (12 even numbers)

13 favorable outcomes

Choice C

3. 1/2 is the probability of landing on tails

1/2 * 1/2 *1/2 * 1/2 = 1/16

Choice D

4. since the die is first the number has to be first

its a number then head or tails

Choice A

5. you multiply the events together to get the total number of outcomes.

8*6 = 48

Choice C

6. 6 choose 4 (order does not matter)

n!/r!(n − r)! where ! = factorial

6! / (4! *2!)

(6*5*4*3*2*1)/(4*3*2*1*2*1) =

6*5/2 = 15

Choice A